Search a number
-
+
514260252 = 223411313461
BaseRepresentation
bin11110101001101…
…111110100011100
31022211200010110000
4132221233310130
52023122312002
6123010214300
715513066012
oct3651576434
91284603400
10514260252
11244317380
12124284390
1382708b0c
144c4288b2
153023361c
hex1ea6fd1c

514260252 has 120 divisors (see below), whose sum is σ = 1474471152. Its totient is φ = 155001600.

The previous prime is 514260233. The next prime is 514260259. The reversal of 514260252 is 252062415.

514260252 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 602 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514260259) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1115302 + ... + 1115762.

Almost surely, 2514260252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514260252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737235576).

514260252 is an abundant number, since it is smaller than the sum of its proper divisors (960210900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514260252 is a wasteful number, since it uses less digits than its factorization.

514260252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 514260252 is about 22677.3069829731. The cubic root of 514260252 is about 801.1754865267.

The spelling of 514260252 in words is "five hundred fourteen million, two hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 313 324 396 461 594 626 891 922 939 1188 1252 1383 1782 1844 1878 2766 2817 3443 3564 3756 4149 5071 5532 5634 6886 8298 8451 10142 10329 11268 12447 13772 15213 16596 16902 20284 20658 24894 25353 30426 30987 33804 37341 41316 45639 49788 50706 60852 61974 74682 91278 92961 101412 123948 136917 144293 149364 182556 185922 273834 278883 288586 371844 410751 432879 547668 557766 577172 821502 865758 1115532 1298637 1587223 1643004 1731516 2597274 3174446 3895911 4761669 5194548 6348892 7791822 9523338 11687733 14285007 15583644 19046676 23375466 28570014 42855021 46750932 57140028 85710042 128565063 171420084 257130126 514260252